What is the Greatest Common Factor of 52700 and 52716?

Greatest common factor (GCF) of 52700 and 52716 is 4.

GCF(52700,52716) = 4

We will now calculate the prime factors of 52700 and 52716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52700 and 52716.

How to find the GCF of 52700 and 52716?

We will first find the prime factorization of 52700 and 52716. After we will calculate the factors of 52700 and 52716 and find the biggest common factor number .

Step-1: Prime Factorization of 52700

Prime factors of 52700 are 2, 5, 17, 31. Prime factorization of 52700 in exponential form is:

52700 = 2² × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 52716

Prime factors of 52716 are 2, 3, 23, 191. Prime factorization of 52716 in exponential form is:

52716 = 2² × 3¹ × 23¹ × 191¹

Step-3: Factors of 52700

List of positive integer factors of 52700 that divides 52700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 31, 34, 50, 62, 68, 85, 100, 124, 155, 170, 310, 340, 425, 527, 620, 775, 850, 1054, 1550, 1700, 2108, 2635, 3100, 5270, 10540, 13175, 26350

Step-4: Factors of 52716

List of positive integer factors of 52716 that divides 52700 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 191, 276, 382, 573, 764, 1146, 2292, 4393, 8786, 13179, 17572, 26358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52700 and 52716. The biggest common factor number is the GCF number.
So the greatest common factor 52700 and 52716 is 4.

Also check out the Least Common Multiple of 52700 and 52716